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Global well-posedness of the full compressible Hall-MHD equations
Advances in Nonlinear Analysis ( IF 4.2 ) Pub Date : 2021-04-01 , DOI: 10.1515/anona-2020-0178
Qiang Tao 1, 2 , Canze Zhu 1
Affiliation  

This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.

中文翻译:

完全可压缩Hall-MHD方程的整体适定性

本文讨论了完全可压缩霍尔磁流体动力流的柯西问题。我们确定了整体解的存在性和唯一性,只要初始能量适当小,但初始温度允许出现较大的振荡即可。此外,获得了全局解决方案的长时间行为。
更新日期:2021-04-24
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